An item has a listed price of $70. if the sales tax sales is 8% , how much is the sales tax ( in dollars ) ?

A rectangular bathroom mirror having a perimeter of 24 feet and an area of 20 square feet, The length and breadth of rectangle are 10 feet and 2 feet respectively.

Given,

perimeter of the rectangle = 24 feet

area of rectangle = 20 sq. feet

Formula of perimeter of rectangle = 2(L + B)

where L = length of the rectangle , Breadth of the rectangle.

⇒ 24 = 2(L + b)                                  

⇒ 12 = L + B

⇒ L = 12 - B                                                  ........(1)

Formula of area of rectangle = L × B

⇒ 20 = L × B                                      

⇒ L = 20 / B                                                  .......(2)

From (1) and (2)

equating two equations,

12 - B = 20 / B

⇒ 12B = 20 + B²

⇒ B² - 12B + 20

On solving,

⇒ B = 10, 2

So, the Length and breadth of rectangle are 10 feet and 2 feet

To learn more about area and perimeter from given link

https://brainly.com/question/443376

#SPJ9

After answering the presented question, we can conclude that As a equation result, the value of x is 34.

An equation is a mathematical statement that validates the equivalent of two expressions joined by the equal symbol '='. For instance, 2x - 5 = 13. 2x-5 and 13 are two examples of expressions. The character '=' connects the two expressions. An equation is a mathematical formula that has two algebras on each side of an assignment operator (=). It demonstrates the equivalency link between the left and middle formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

We can see from the diagram that PQ is parallel to BC and that the line segments PQ and BC overlap at point O.

As a result, we have:

angle QPO stands for angle. 70° angle = ABC QOP stands for angle. ACB = 110°

angle AOB = angle - 180 ACB - ABC angle = 180 - 70 - 110 = 0

This indicates that points A, O, and B are collinear and that angle AOB is a straight angle, implying that angles AOP and POB are supplementary angles.

We may use this data to calculate the value of x:

AOP angle + POB angle = 180

(3x - 10) + (2x + 20) = 180

5x + 10 = 180

5x = 170

x = 34

As a result, the value of x is 34.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The given

system of equations

is:

5x + y = 10   ... (1)

x + (1/5)y = 2   ... (2)

To solve this system, we can use the method of

elimination

. Let's multiply equation (2) by 5 to eliminate the fraction:

5(x + (1/5)y) = 5(2)

5x + y = 10   ... (3)

Comparing equations (1) and (3), we can see that they are identical. This means that equation (3) is just a multiple of equation (1), and therefore the two equations are dependent. The system does not have a unique solution; instead, it has

infinitely many solutions.

To see this, we can rewrite equation (1) as:

y = 10 - 5x

Now, we can substitute this expression for y into either equation (1) or (2). Let's substitute it into equation (1):

5x + (10 - 5x) = 10

10 = 10

As we can see, this equation is always true, regardless of the value of x. This means that for any real value of x, the equation is satisfied. Therefore, the solution set is {x | x is any real number}.

In summary, the given system of equations is

dependent

and has infinitely many solutions. The solution set is {x | x is any real number}.

Learn more about

System of equations

here:

brainly.com/question/15015734

#SPJ11

The statement "Nodal equations I=Ybus ​V are a set of linear equations analogous to y=Ax." is true because In the nodal equations, I and V are also vectors, and Ybus plays the role of the matrix A. The correct answer is option a.

The nodal equations I = Ybus V are a set of linear equations that relate the nodal currents I to the nodal voltages V, where Ybus is the nodal admittance matrix.

This is analogous to the equation y = Ax, where y and x are vectors and A is a matrix. In the nodal equations, I and V are also vectors, and Ybus plays the role of matrix A.

Therefore, the statement "Nodal equations I = Ybus V are a set of linear equations analogous to y = Ax" is true. So option a is correct.

Learn more about 'nodal equations': https://brainly.com/question/31420920

#SPJ11

The Python Program to print the palindrome is given below in the body.

Python is an extremely abstract general-purpose programming language. Code readability is given top priority in its design philosophy, which uses considerable indentation. Python is a garbage-collected programming language with dynamic typing. It is compatible with a wide range of programming paradigms, including structured, object-oriented, and functional programming.

Python is a programming language that is frequently used to create websites and software, automate tasks, and perform data analysis. Python is a general-purpose programming language, which means it can be used to create a wide range of programs and isn't specialized for any particular problem.

Def is Palindrome(num):

# Declaring variables

# storing num in n so that we can compare it later

n = num

rev = 0

# We determine its inverse and store it while num is not 0.

# in rev

while (num > 0):

k = num % 10

rev = (rev * 10) + k

num = num / 10

# check if num and its reverse are the same

if (n = rev):

return True

else:

return False

# input number

num = 9687

# start checking from the next num;

num = num + 1

# Loop verifies each number in the input number.

# (num + 1) to next palindrome no.

while (True):

if (is Palindrome(num)):

break

num = num + 1

# printing the next palindrome

print ("Next Palindrome :")

print (num)

To know more about python, visit:

brainly.com/question/13437047

#SPJ4

The 90% confidence interval for the average time for drive-thru service is (4.551, 5.449) minutes. This means that we can be 90% confident that the true population mean of the waiting time for drive-thru service is between 4.551 and 5.449 minutes.

The 90% confidence interval for the average time for drive-thru service can be calculated using the formula:
CI = X ± (z×σ/√n)
Where:
CI = Confidence Interval
X = Sample mean
z = Z-score for the desired confidence level
σ = Population standard deviation
n = Sample size
Given that X = 5 minutes, σ = 1.5 minutes, and n = 30, we can plug these values into the formula to calculate the 90% confidence interval.
First, we need to find the z-score for the 90% confidence level. Using a z-table, we can find that the z-score for a 90% confidence level is 1.645.
Now, we can plug the values into the formula:
CI = 5 ± (1.645×1.5/√30)
CI = 5 ± (1.645×1.5/5.477)
CI = 5 ± (0.449)

Hence, the true population mean of the waiting time for drive-thru service is between 4.551 and 5.449 minutes.

You can learn more about confidence intervals at: brainly.com/question/24131141

#SPJ11

Age Frequency

41-45 5

46-50 9

51-55 3

56-60 10

61-65 10

66-70 6

1) Since the frequency represents how many times a given data point occurs within a Data Set. We can fill it in by counting.

2) So let's write them out (Note that in this case the least value is included as well as the greater one):

Age Frequency

41-45 5

46-50 9

51-55 3

56-60 10

61-65 10

66-70 6

And that is the answer

The triangle KLM and triangle NOP are similar.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The length of side KLM are KL = 18, LM = 19, MK = 20.

The length of side NOP are NO = 54, OP = 57, NP = 60.

The ratio length of sides is

54/18 = 57/19 = 60/20 = 3

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

According to SSS rule triangle KLM and triangle NOP are similar.

To learn more about similar triangle, click on below link:

https://brainly.com/question/28995670

#SPJ1

The equation of the line for the bike path is :

y = -5x - 15.

Here :

Equation for the Lorne Lane line is y = -4/5x.

slope of the Eqe is -4/5

slope of the bike path perpendicular to Lorne Lane is -5/4

from the Graph point p is (-4, -10)

so

Equation of the line is y = -5x -15;

To learn more about : Equation of the line

Ref : https://brainly.com/question/18831322

#SPJ13

Answer:

y=-5x-15

Step-by-step explanation:

Answer:

a)f(o)=12

f(1)=0

f(12)=1320

c)x=1

Step-by-step explanation:

All are technically squares, but if you are referring to just squares, then C and D are squares.

The distance from the center of the circle to the outer edge is called radius of the circle.

Circle is a segment of line connected to it itself. It is a 2 dimensional structure measuring 360°. The outer edge of the circle is called circumference. Now, an interesting fact about the circle is that circumference is equi distant from the radius.

Therefore, be it any point on the circumference, it will be at the same distance from radius. If the radius is further extended to meet the opposite side of circumference, it will become a diameter. The total length of diameter however decreases as we move from center to top of the circle.

Learn more about radius -

https://brainly.com/question/27696929

#SPJ4

Kirk would have paid $13,900 more for damages than what he had invested in his insurance policy if he did not have automobile insurance.

The amount that Kirk would have paid for damages than what he had invested in his insurance policy if he did not have automobile insurance can be determine as follows. Hence,

1. Calculate the total amount Kirk paid in insurance premiums over 8 years:

$1,075 * 8 = $8,600

2. Determine the total value of the car that was totaled:

$22,500

3. Subtract the total amount Kirk paid in insurance premiums from the value of the totaled car:

$22,500 - $8,600 = $13,900

Kirk would have paid $13,900 more for damages.

Learn more about Insurance premiums:

https://brainly.com/question/27870491

#SPJ11

Answer:

24feet 1 inches

Step-by-step explanation:

Answer:

Puede ser Asi:

\( {10}^{6} = 1000000\)

Tambien puede ser:

\(1000000 \div 10 = 100000\)

Answer:

Theta = 37.9 degrees

AC = 11.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan theta = 7/9

tan ^ -1 tan theta = tan ^-1 (7/9)

theta =37.87498

To 1 decimal place

Theta = 37.9 degrees

We use the Pythagorean theorem to find AC

a^2 + b^2 = c^2

7^2 + 9^2 = AC^2

49+81 = AC^2

130 = AC^2

Taking the square root of each side

sqrt(130) = sqrt(AC^2)

AC = 11.40175

Rounding to 1 decimal place

AC = 11.4

Answer:

no linear relationship exists between the two variables being compared

Step-by-step explanation:

the dimensions of rectangle is  l = 23 and w = 14

Given,

A rectangle has perimeter 74 inches, and its area is 322 square-inches

To find the dimensions of this rectangle.

Steps:

With this question it is known that the perimeter of the rectangle is 74 inches and the area is 322 inches. the question is what is the length and width of the rectangle.

The formula for the perimeter of a square is P = l + l + w + w or P= 2(l + w) and the formula for the area of a rectangle is A = l x w.

the formula for the perimeter of a rectangle is P= 2(l + w) that means w=l(p/2-l) and the formula for the area of a rectangle is A = l x w, usually l is longer than w

insert the w equation with the perimeter formula into the area formula A = l (p/2-l) to

solve this equation:    \(l\\^{2}\) - (\(\frac{P}{2}\)) x l + A=0 to get l

 \(l\\^{2}\) - (74/2) l +322=0

 \(l\\^{2}\) - 37l + 322=0

(l-23)(l-14)=0 so

l =23 and l=14,

it can be concluded that l = 23 and w = 14

learn more about the rectangle here : https://brainly.com/question/2607596

#SPJ4

parthenogenesis: continues reproduction despite  single-gender dominance

pollination: obtains genetically different  varieties of plants

herding: protects calves from predators

broadcast spawning: allows large-scale production of  offspring

Explanation:

hope it's right

The correct choice is the sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is -2 (option c).

The given sequence (-2) does not vary with the index n, as it is a constant sequence. Therefore, the sequence is both monotonic and bounded.

Since the sequence is bounded and monotonic (in this case, it is non-decreasing), we can conclude that the sequence converges.

The limit of a constant sequence is equal to the constant value itself. In this case, the limit of the sequence (-2) is -2.

Therefore, the correct choice is:

OC. The sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is -2.

To know more about sequence:

https://brainly.com/question/30262438

#SPJ4

The limit of the sequence is -2.

Given sequence is ((-2)}

To find the limit of the given sequence, we have to use the following formula:

Lim n→∞ anwhere a_n is the nth term of the sequence.

So, here a_n = -2 for all n.

Now,Lim n→∞ a_n= Lim n→∞ (-2)= -2

Therefore, the limit of the given sequence is -2.

Also, the sequence is not monotonic. But the sequence is bounded.

So, the correct choice is:

The sequence is not monotonic.

The sequence is bounded.

The sequence converges, and the limit is -2.

learn more about sequence on:

https://brainly.com/question/28036578

#SPJ11

A sinusoidal equation can be used to describe the height because the height depends on a periodic motion, and the equation can be written as:

h(t) = 13ft*sin(pi*t) + 24ft

Remember that the sine function has a periodicity, such that:

sin(x + 2pi) = sin(x).

So, for a circle where if you do a complete rotation you end in the initial place, so there can be a relation between the height and a sinusoidal equation.

Notice that the initial position is 24ft above the ground, so we can write this, at the moment, as:

h(x) = Asin(n*t) + 24ft

A is the amplitude, it defines the maximum height and minimum height, both depend on the radius (the maximum height is 24ft plus the radius, the minimum height is 24ft minus the radius) then we write:

h(t) = 13ft*sin(kt) + 24ft

k depends on how much time takes to do a full rotation. We know that the sine function does a "complete cycle" in 2pi, while the wheel does a full rotation in 2 seconds, then we have that:

k*2 = 2pi

k = (2pi)/2s = pi

Then the sinusoidal equation that represents the height is:

h(t) = 13ft*sin(pi*t) + 24ft

If you want to learn more about sinusoidal equations, you can read:

https://brainly.com/question/9478364

Answer:

Money spent = 3/4

money left = 1-(3/4) = 1/4

.

.

again 1/5 spent of 1/4 (remaining money) = 1/20

means again money was spent = 1/20

total money spent = 1/4 + 1/20 = 6/20 = 3/10 of total

now, total money left = 1 - (3/10) = 7/10

hence, 7/10 part of total money is left after all expenditure!

.

.

.

\({\bold{\red{HOPE\:IT\:HELPS!}}}\)

\(\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}\)

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

Learn more about expressions, click;

https://brainly.com/question/13947055

#SPJ1

Domain is the x values.

The x values in the given function are: 0,3,5,8

The answer would be B. {0,3,5,8}

Answer:

x = -8

I hope this helps!

Answer:

A is going to be 2.80

B is going to be 0.7

C points (1,0.70)

D he is buying four pounds of flour because you always put the x at the bottom and y at the top

E it will be 6.3

Step-by-step explanation:

Hope this Helped

AnswerA is going to be 2.80

B is going to be 0.7 this is all I know

Step-by-step explanation:

Answer:

560000

Step-by-step explanation:

800×700

800

×700=560000